On a relation between certain character values of symmetric groups and its connection with creation operators of symmetric functions
Representation Theory
2014-10-13 v1 Combinatorics
Abstract
In this paper, we derive a relation of new kind between certain character values of symmetric groups in terms of so-called maya diagrams. We also investigate a relation between our result and Bernstein's creation operators for Schur functions, and consider analogous relations for projective characters of symmetric groups through creation operators for Schur -functions. We also consider analogous relations for characters of Brauer algebras and walled Brauer algebras.
Keywords
Cite
@article{arxiv.1305.2568,
title = {On a relation between certain character values of symmetric groups and its connection with creation operators of symmetric functions},
author = {Masaki Watanabe},
journal= {arXiv preprint arXiv:1305.2568},
year = {2014}
}